Question

A salesman’s commission is $5\%$ on all sales up to Rs. 10000 and $4\%$ on all sales exceeding this. He remits Rs. 31100 to his parent company after deducting his commission. His sale was worth?

• A. Rs.25300
• B. Rs.27800
• C. Rs.29600
• D. Rs.32500

Answer 1

The correct option is D Rs.32500

Let the total sale be Rs x.
Commission
$=\frac{5}{100}\times 10000+\frac{4}{100}\times (x-10000)100+\frac{4x}{100}\therefore x-(100+\frac{x}{25})=31100Or\frac{24x}{25}=31200\therefore x=\frac{31200\times 25}{24}=32500$